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Finding the Fourth Proportional to 2,188.87, 3,270.49 and 2,112.31

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Solution

The fourth proportional to 2,188.87, 3,270.49 and 2,112.31 is: 3,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.87 : 3,270.49 = 2,112.31 : x
  2. Step 2: Convert to fraction form
    2,188.87/3,270.49 = 2,112.31/x
  3. Step 3: Cross multiply
    2,188.87x = 3,270.49 × 2,112.31
  4. Step 4: Simplify right side
    2,188.87x = 6,908,278.17
  5. Step 5: Solve for x
    x = 6,908,278.17/2,188.87
  6. Step 6: Final answer
    x = 3,156.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.